Analyze the stability of the positive equilibrium in the model from Exercise 44 when = 4,
Question:
Right at a bifurcation point, the stability theorem fails because the slope of the rate-of-change function at the equilibrium is exactly zero. In each of the following cases, check that the stability theorem fails, and then draw a phase-line diagram to find the stability.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 55% (9 reviews)
With 4 the differential equation is dIdt 4I 2 1 I I The equilibria are I 0 and I 12 The ...View the full answer
Answered By
Ashington Waweru
I am a lecturer, research writer and also a qualified financial analyst and accountant. I am qualified and articulate in many disciplines including English, Accounting, Finance, Quantitative spreadsheet analysis, Economics, and Statistics. I am an expert with sixteen years of experience in online industry-related work. I have a master's in business administration and a bachelor’s degree in education, accounting, and economics options.
I am a writer and proofreading expert with sixteen years of experience in online writing, proofreading, and text editing. I have vast knowledge and experience in writing techniques and styles such as APA, ASA, MLA, Chicago, Turabian, IEEE, and many others.
I am also an online blogger and research writer with sixteen years of writing and proofreading articles and reports. I have written many scripts and articles for blogs, and I also specialize in search engine
I have sixteen years of experience in Excel data entry, Excel data analysis, R-studio quantitative analysis, SPSS quantitative analysis, research writing, and proofreading articles and reports. I will deliver the highest quality online and offline Excel, R, SPSS, and other spreadsheet solutions within your operational deadlines. I have also compiled many original Excel quantitative and text spreadsheets which solve client’s problems in my research writing career.
I have extensive enterprise resource planning accounting, financial modeling, financial reporting, and company analysis: customer relationship management, enterprise resource planning, financial accounting projects, and corporate finance.
I am articulate in psychology, engineering, nursing, counseling, project management, accounting, finance, quantitative spreadsheet analysis, statistical and economic analysis, among many other industry fields and academic disciplines. I work to solve problems and provide accurate and credible solutions and research reports in all industries in the global economy.
I have taught and conducted masters and Ph.D. thesis research for specialists in Quantitative finance, Financial Accounting, Actuarial science, Macroeconomics, Microeconomics, Risk Management, Managerial Economics, Engineering Economics, Financial economics, Taxation and many other disciplines including water engineering, psychology, e-commerce, mechanical engineering, leadership and many others.
I have developed many courses on online websites like Teachable and Thinkific. I also developed an accounting reporting automation software project for Utafiti sacco located at ILRI Uthiru Kenya when I was working there in year 2001.
I am a mature, self-motivated worker who delivers high-quality, on-time reports which solve client’s problems accurately.
I have written many academic and professional industry research papers and tutored many clients from college to university undergraduate, master's and Ph.D. students, and corporate professionals. I anticipate your hiring me.
I know I will deliver the highest quality work you will find anywhere to award me your project work. Please note that I am looking for a long-term work relationship with you. I look forward to you delivering the best service to you.
3.00+
2+ Reviews
10+ Question Solved
Related Book For
Modeling the Dynamics of Life Calculus and Probability for Life Scientists
ISBN: 978-0840064189
3rd edition
Authors: Frederick R. Adler
Question Posted:
Students also viewed these Calculus questions
-
Analyze the stability of the disease model when = = 1, the point where the bifurcation occurs in Exercise 42. Right at a bifurcation point, the stability theorem fails because the slope of the...
-
In Sec. 2.6 we introduced the Lotka-Volterra predalor-prey system x' =(a -by)x. y' = (ex - d)y. and determined its equilibrium points (0. 0) and (d/c, a/b). Use the Jacobian matrix to analyze the...
-
The nonlinear discrete-time dynamical system How does this differ from the model in Exercise 31? Why is the equilibrium smaller? The model describing the dynamics of the concentration of medication...
-
The average of 4 consecutive odd positive integers is 16. The product of the smallest and largest positive odd integer is 1. 210 2. 247 3. 294 4. 320 None of the above 5.
-
The following list names the activities involved in the accounting process of recording and summarizing business transactions. Place the number corresponding with the order the activity occurs next...
-
Let us check the accuracy of the approximation in Eq. (6.3) for a couple of zeros maturing in 3 and 20 years, respectively. If the continuously compounded yield \(r\) is \(3 \%\), we have Note that,...
-
Basic Chemicals Ltd produces a highly flammable chemical product. The company experienced a flood on 1 April 2025 that destroyed its entire work in process inventory but did not affect the raw...
-
During the month of March, QNI Corporation made the following credit sales and had the Following related collections. QNI prepares financial statements for the first quarter of operations at the end...
-
A dipole with dipole moment p = 2 + 4 j is placed in an electric field E = 7 i - 1 0 j , with p in Cm and E in N / C . The dipole is allowed to move freely. What will the potential energy of the...
-
A service company has the following financial information (in millions of $) Sales .............................................................. $510 Cost of outsourced facilitating goods...
-
Consider a variant of the basic disease model given by Graph the equilibria as functions of for values of between 0 and 5, using a solid line when an equilibrium is stable and a dashed line when an...
-
Use the stability theorem to evaluate the stability of the equilibria of the following autonomous differential equations. Compare your results with the phase line in Section 5.2, Exercise 17. dy ycosO
-
What is the economic order quantity? How does it minimize total inventory costs?
-
Try creating a text cloud from a lecture that one of your teachers gives. Take notes on the lecture or use an audio recorder and then transcribe the recording. Structure your notes or the...
-
If the length of the major axis of the earth's orbit is \(186,000,000 \mathrm{mi}\) and its eccentricity is 0.017 , how far is the earth from the sun when it is at aphelion and at perihelion?
-
Using Schein's definition of organizational culture from the section that explains approaches to analyzing workplace cultures, divide the class into six teams and assign one part of the definition to...
-
Concerning the decision-making processes of people in workplaces, Mary Douglas (1986, 4) asserts that "an answer is only seen to be the right one if it sustains the institutional thinking that is...
-
If you are a practicing technical communicator currently, find some document in your organization that you can talk about not only for what it says, but also for what it does. What kind of cultural...
-
Epidemiologists have found a new communicable disease running rampant in College Station, Texas. They estimate that t days after the disease is first observed in the community, the percent of the...
-
Write an SQL statement to display all data on products having a QuantityOnHand greater than 0.
-
Continuation of Exercise 5-58. Determine the conditional probability distribution of Z given that X = 1 and Y = 1.
-
Determine the value of c that makes fXYZ(x, y, z) = c a joint probability density function over the region x > 0, y > 0, z > 0, and x + y + z < 1.
-
Continuation of Exercise 5-61. Determine the following: (a) P(X < 0.5, Y < 0.5, z < 0.5) (b) P(X < 0.5, Y < 0.5 (c) P(X < 0.5) (d) E(X)
-
How is decision-making in organizations best supported by Management Accounting (a descriptive nature) and how should it be supported by Management Accounting (a prescriptive nature)? Is there a gap...
-
Discuss the thermodynamic principles governing the separation of azeotropic mixtures using advanced distillation techniques such as pressure swing distillation, extractive distillation, and hybrid...
-
respond to the discussion In the IMA article, Activity-Based Costing (ABC) is explained as a cost allocation technique that traces indirect costs (often referred to as "overhead") to specific cost...
Study smarter with the SolutionInn App